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Three Remarks on the Measurement of Unit Spheres

Published online by Cambridge University Press:  20 November 2018

J. R. Betts  and
A. C. Thompson
J. R. Betts
Affiliation:
Dalhousie University, HalifaxNova Scotia
A. C. Thompson
Affiliation:
Dalhousie University, HalifaxNova Scotia
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Let X and Y be isomorphic normed linear spaces and let i ℒ denote the set of isomorphisms from X to Y (i.e. bounded linear mappings from X onto Y which have bounded inverses).

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 18 , Issue 4 , October 1975 , pp. 485 - 488
Copyright
Copyright © Canadian Mathematical Society 1975

References

1. Banach, S., Théorie des opérations linéaires (Warsaw) 1932.Google Scholar
2. Kottman, C. A., Packing and reflexivity in Banach spaces, Trans. Amer. Math. Soc., 150 (1970) 565–576.Google Scholar
3. Schäffer, J. J., Inner diameter, perimeter and girths of spheres, Math. Annalen, 173 (1967) 59–82.Google Scholar
4. Schäffer, J. J. and Sundaresan, K., Reflexivity and the girths of spheres, Math. Annalen, 184 (1970) 163–168.Google Scholar
5. Whitley, R., The size of the unit sphere, Can. J. Math., 20 (1968) 450–455.Google Scholar